arXiv subjects
Publications and source records attributed to María Inés Platzeck.
Let $Λ$ be an artin algebra and $\mathfrak{A}$ a two-sided idempotent ideal of $Λ$, that is, $\mathfrak{A}$ is the trace of a projective $Λ$-module $P$ in $Λ$. We consider the categories of finitely generated modules over the associated rings $Λ/\mathfrak{A}, Λ$ and $Γ=\mathrm{End}_Λ(P)^{op}$ and study the relationship between their homological properties via the Igusa-Todorov functions.
Let $Q$ be a finite quiver without oriented cycles and $k$ an algebraically closed field.In this paper we establish a connection between cluster algebras and the representation theory of the path algebra $kQ$, in terms of the spectral properties of the quivers mutation equivalent to $Q$.
In this paper the relationship between iterated tilted algebras and cluster-tilted algebras and relation-extensions is studied. In the Dynkin case, it is shown that the relationship is very strong and combinatorial.